Published in Journal of Experimental and Theoretical Physics
We have analyzed the transformation from initial coordinates (v, r) of the Vaidya metric with light coordinate v to the most physical diagonal coordinates (t, r). An exact solution has been obtained for the corresponding metric tensor in the case of a linear dependence of the mass function of the Vaidya metric on light coordinate v. In the diagonal...
Published in Astronomy Reports
Moderate resolution spectra of four globular clusters in the dwarf spheroidal galaxy IKN obtained with the 6-m telescope of the Special Astrophysical Observatory have been used to determine the radial velocities, ages, and metallicities of the clusters, and also to derive the first approximate estimates of the abundances of Mg, Ca, and C. Cross-cor...
Published in Proceedings of the Steklov Institute of Mathematics
Abstract By constructing suitable nonnegative exponential sums, we give upper bounds on the cardinality of any set \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$B_q$$...
Published in Physics of Particles and Nuclei Letters
AbstractFollowing the results of our publications, in the first part of this letter, we explain that quantum theory based on finite mathematics (FQT) is more general (fundamental) than standard quantum theory based on Poincaré invariance. Standard concept of particle-antiparticle is not universal because it arises as a result of symmetry breaking f...
Published in Lobachevskii Journal of Mathematics
AbstractWe consider error correction, based on the theory of non-commutative graphs, for a model of a qubit interacting with quantum oscillator. The dynamics of the composite system is governed by the Schrödinger equation which generates positive operator-valued measure (POVM) for the system dynamics. We construct a quantum channel generating the n...
Published in Siberian Mathematical Journal
We prove that (1): the characteristic function of each independent set in each regular graph attaining the Delsarte–Hoffman bound is a perfect coloring; (2): each transversal in a uniform regular hypergraph is an independent set in the vertex adjacency multigraph of a hypergraph attaining the Delsarte–Hoffman bound for this multigraph; and (3): the...
Published in Technical Physics Letters
AbstractThe dependence of random telegraph noise (RTN) amplitude on the gate overdrive in a junctionless field-effect transistor (FinFET) with rectangular and trapezoidal channel (fin) cross sections manufactured using silicon-on-insulator technology has been numerically simulated. It is established that the RTN amplitude in the subthreshold region...
Published in Siberian Mathematical Journal
We give necessary and sufficient conditions for the representability of an arbitrary function of two variables as the difference of two convex functions. Some geometric interpretation of these conditions is given. We present an algorithm of such a representation which yields a uniformly convergent sequence of convex functions.
Published in Mathematical Notes
Let K ⊂ ℂ be a polynomially convex compact set, f be a function analytic in a domain ℂ¯\K\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{\mathbb{C}} \backslas...
Published in Lobachevskii Journal of Mathematics
We consider multidimensional optimization problems, which are formulated and solved in terms of tropical mathematics. The problems are to minimize (maximize) a linear or nonlinear function defined on vectors over an idempotent semifield, and may have constraints in the form of linear equations and inequalities. The aim of the paper is twofold: firs...
